Find the intervals in which the function...

Find the intervals in which the function
f(x)`=3 cos^(4)x+10 cos^(3)x+ 6cos^(2)x-3(0 le x le pi)`
is monotonically increasing or decreasing.

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The correct Answer is:

Decreasing in `0 lt x lt (pi)/(2)` and `(2pi)/(3) lt x pi` and increasing in `(pi)/(2) lt x lt (2pi)/(3)`

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